We discuss the generalization of phenomenological equations for electromagnetic field in superconductor based on algebra of space-time sedeons. It is shown that the combined system of London and Maxwell equations can be reformulated as a single sedeonic wave equation for the field with nonzero mass of quantum, in which additional conditions are imposed on the scalar and vector potentials, relating them to the deviation of charge density and currents in the superconducting phase. Also, we considered inhomogeneous equations including external sources in the form of charges and currents of the normal phase. In particular, a screening of the Coulomb interaction of external charges in a superconducting media is discussed.

中文翻译：

---

伦敦方程与时空 sedeons 的推广

我们讨论了基于时空sedeons代数的超导体电磁场唯象方程的推广。结果表明，London 和 Maxwell 方程的组合系统可以重新表述为具有非零量子质量场的单个 sedeonic 波动方程，其中对标量和矢量势施加附加条件，将它们与电荷偏差联系起来超导相的密度和电流。此外，我们考虑了非齐次方程，包括正相电荷和电流形式的外部源。特别地，讨论了超导介质中外部电荷的库仑相互作用的筛选。